In Grade 8, instructional time should focus on three critical areas: 1. formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations; 2. grasping the concept of a function and using functions to describe quantitative relationships; 3. analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem.
Overview broken down by category:
Expressions and Equations
• Work with radicals and integer exponents.
• Understand the connections between
proportional relationships, lines, and linear
equations.
• Analyze and solve linear equations and pairs of
simultaneous linear equations.
Geometry
• Understand congruence and similarity using
physical models, transparencies, or geometry
software.
• Understand and apply the Pythagorean
Theorem.
• Solve real-world and mathematical problems
involving volume of cylinders, cones and
spheres.
Functions
• Define, evaluate, and compare functions.
• Use functions to model relationships between
quantities.
The Number System
• Know that there are numbers that are not
rational, and approximate them by rational
numbers.
Statistics and Probability
• Investigate patterns of association in bivariate
data
Mathematical Practices
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
In Grade 8, instructional time should focus on three critical areas:
1. formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations;
2. grasping the concept of a function and using functions to describe quantitative relationships;
3. analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem.
Overview broken down by category:
• Work with radicals and integer exponents.
• Understand the connections between
proportional relationships, lines, and linear
equations.
• Analyze and solve linear equations and pairs of
simultaneous linear equations.
• Understand congruence and similarity using
physical models, transparencies, or geometry
software.
• Understand and apply the Pythagorean
Theorem.
• Solve real-world and mathematical problems
involving volume of cylinders, cones and
spheres.
• Define, evaluate, and compare functions.
• Use functions to model relationships between
quantities.
• Know that there are numbers that are not
rational, and approximate them by rational
numbers.
• Investigate patterns of association in bivariate
data
Mathematical Practices
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Examples:
Pythagorean Theorem: http://www.pbs.org/wgbh/nova/proof/puzzle/theorem.html
Geometry: http://www.crctlessons.com/8th-Grade-CRCT-Game-Geometry/8th-grade-crct-game-geometry.html
Functions: http://www.themathpage.com/aprecalc/functions.htm
The Number System: http://www.math.utah.edu/~pa/math/numbers.html
Radical Equations: http://www.purplemaths.com/modules/solverad.htm
Integers: http://www.mathleague.com/help/integers/integers.htm
Probability: http://www.mathgoodies.com/lessons/vol6/intro_probability.html
Resources:
http://www.internet4classrooms.com/skills_8th_math_new.htm
Link to the Math Common Core Standards:
http://www.corestandards.org/assets/CCSSI_Math%20Standards.pf